Write a division that represents the question: How many 3\/8s are in 5\/4?<\/p>\n\n\n\n
The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n To represent the question “How many 3\/8s are in 5\/4?”<\/em> using division, you write it as: 54\u00f738\\frac{5}{4} \\div \\frac{3}{8}<\/p>\n\n\n\n 54\u00f738=54\u00d783=5\u00d784\u00d73=4012=103\\frac{5}{4} \\div \\frac{3}{8} = \\frac{5}{4} \\times \\frac{8}{3} = \\frac{5 \\times 8}{4 \\times 3} = \\frac{40}{12} = \\frac{10}{3}<\/p>\n\n\n\n So, there are 103\\frac{10}{3} or 3\u2153 of the 3\/8s in 5\/4.<\/strong><\/p>\n\n\n\n This problem is asking how many times the fraction 38\\frac{3}{8} fits into the fraction 54\\frac{5}{4}<\/strong>, which is a classic case of dividing fractions. Whenever you\u2019re asked “how many of A are in B”, you model it with the division B \u00f7 A<\/strong>.<\/p>\n\n\n\n So we write: 54\u00f738\\frac{5}{4} \\div \\frac{3}{8}<\/p>\n\n\n\n To divide by a fraction, you multiply by its reciprocal<\/strong>. The reciprocal of 38\\frac{3}{8} is 83\\frac{8}{3}. So: 54\u00f738=54\u00d783\\frac{5}{4} \\div \\frac{3}{8} = \\frac{5}{4} \\times \\frac{8}{3}<\/p>\n\n\n\n Next, multiply the numerators and denominators: 5\u00d784\u00d73=4012\\frac{5 \\times 8}{4 \\times 3} = \\frac{40}{12}<\/p>\n\n\n\n This fraction can be simplified by dividing both numerator and denominator by 4: 40\u00f7412\u00f74=103\\frac{40 \\div 4}{12 \\div 4} = \\frac{10}{3}<\/p>\n\n\n\n So, there are 10\/3<\/strong>, or 3 whole groups and 1\/3 of another<\/strong>, of the 3\/8 portions in 5\/4.<\/p>\n\n\n\n Think of it this way: if you had 5\/4 cups of juice and you were pouring it into cups that each hold 3\/8 of a cup, you’d be able to fill three full cups<\/strong> and have 1\/3 of a cup\u2019s worth left over<\/strong>. This is a great example of using division of fractions in real-life proportional reasoning.<\/p>\n","protected":false},"excerpt":{"rendered":" Write a division that represents the question: How many 3\/8s are in 5\/4? The correct answer and explanation is: Division Expression: To represent the question “How many 3\/8s are in 5\/4?” using division, you write it as: 54\u00f738\\frac{5}{4} \\div \\frac{3}{8} Correct Answer: 54\u00f738=54\u00d783=5\u00d784\u00d73=4012=103\\frac{5}{4} \\div \\frac{3}{8} = \\frac{5}{4} \\times \\frac{8}{3} = \\frac{5 \\times 8}{4 \\times 3} […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-27821","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/27821","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=27821"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/27821\/revisions"}],"predecessor-version":[{"id":27826,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/27821\/revisions\/27826"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=27821"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=27821"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=27821"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Division Expression:<\/strong><\/h3>\n\n\n\n
\n\n\n\nCorrect Answer:<\/strong><\/h3>\n\n\n\n
\n\n\n\n300-Word Explanation:<\/strong><\/h3>\n\n\n\n